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-rw-r--r--library/core/src/num/dec2flt/number.rs86
1 files changed, 86 insertions, 0 deletions
diff --git a/library/core/src/num/dec2flt/number.rs b/library/core/src/num/dec2flt/number.rs
new file mode 100644
index 000000000..405f7e7b6
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+++ b/library/core/src/num/dec2flt/number.rs
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+//! Representation of a float as the significant digits and exponent.
+
+use crate::num::dec2flt::float::RawFloat;
+use crate::num::dec2flt::fpu::set_precision;
+
+#[rustfmt::skip]
+const INT_POW10: [u64; 16] = [
+ 1,
+ 10,
+ 100,
+ 1000,
+ 10000,
+ 100000,
+ 1000000,
+ 10000000,
+ 100000000,
+ 1000000000,
+ 10000000000,
+ 100000000000,
+ 1000000000000,
+ 10000000000000,
+ 100000000000000,
+ 1000000000000000,
+];
+
+#[derive(Clone, Copy, Debug, Default, PartialEq, Eq)]
+pub struct Number {
+ pub exponent: i64,
+ pub mantissa: u64,
+ pub negative: bool,
+ pub many_digits: bool,
+}
+
+impl Number {
+ /// Detect if the float can be accurately reconstructed from native floats.
+ fn is_fast_path<F: RawFloat>(&self) -> bool {
+ F::MIN_EXPONENT_FAST_PATH <= self.exponent
+ && self.exponent <= F::MAX_EXPONENT_DISGUISED_FAST_PATH
+ && self.mantissa <= F::MAX_MANTISSA_FAST_PATH
+ && !self.many_digits
+ }
+
+ /// The fast path algorithm using machine-sized integers and floats.
+ ///
+ /// This is extracted into a separate function so that it can be attempted before constructing
+ /// a Decimal. This only works if both the mantissa and the exponent
+ /// can be exactly represented as a machine float, since IEE-754 guarantees
+ /// no rounding will occur.
+ ///
+ /// There is an exception: disguised fast-path cases, where we can shift
+ /// powers-of-10 from the exponent to the significant digits.
+ pub fn try_fast_path<F: RawFloat>(&self) -> Option<F> {
+ // The fast path crucially depends on arithmetic being rounded to the correct number of bits
+ // without any intermediate rounding. On x86 (without SSE or SSE2) this requires the precision
+ // of the x87 FPU stack to be changed so that it directly rounds to 64/32 bit.
+ // The `set_precision` function takes care of setting the precision on architectures which
+ // require setting it by changing the global state (like the control word of the x87 FPU).
+ let _cw = set_precision::<F>();
+
+ if self.is_fast_path::<F>() {
+ let mut value = if self.exponent <= F::MAX_EXPONENT_FAST_PATH {
+ // normal fast path
+ let value = F::from_u64(self.mantissa);
+ if self.exponent < 0 {
+ value / F::pow10_fast_path((-self.exponent) as _)
+ } else {
+ value * F::pow10_fast_path(self.exponent as _)
+ }
+ } else {
+ // disguised fast path
+ let shift = self.exponent - F::MAX_EXPONENT_FAST_PATH;
+ let mantissa = self.mantissa.checked_mul(INT_POW10[shift as usize])?;
+ if mantissa > F::MAX_MANTISSA_FAST_PATH {
+ return None;
+ }
+ F::from_u64(mantissa) * F::pow10_fast_path(F::MAX_EXPONENT_FAST_PATH as _)
+ };
+ if self.negative {
+ value = -value;
+ }
+ Some(value)
+ } else {
+ None
+ }
+ }
+}